27-January-2009
SF
Big Idea:
Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.
Essential Question: What methods are there for comparing things?

A. Which recipe will make juice that is the most “Orangey "?
Mix A: - 2 cups concentrate
3 cups cold water
because the difference between these two numbers ratio is really close.


B. Which recipe will make juice that is the least “Orangey "?
Mix C: - 4 cups concentrate
8 cups of cold water
because the difference between them is 4 and it is the most. This ratio is far apart from each other the most also.


C. Assume that each camper will get half cup of juice. For each recipe, how much concentrate and how much water are needed to make juice for 240 campers?
For each you will need:-
*Mix A= 48 cups concentrate
72 cups of cold water

  • Mix B= 24 cups of concentrate
96 cups of cold water
  • Mix C= 40 cups of concentrate
80 cups of cold water
*Mix D= 45 cups concentrate
75 cups of cold water.


Follow-up
1. How did you use ratio to solve problem 3.1?
Well I used ratio to answer my questions because that is one of the forms of ratios.

2. for each recipe, how much concentrate and how much water is needed to make 1 cup of juice?
*Mix A= tow fifths of concentrate *Mix C= four twelfths of concentrate
three fifths eight twelfths of cold water


*Mix B= one fifths cup of concentrate *Mix D= three eights cup of concentrate
Fourths of cold water five eights cup of cold water